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Finding the Fourth Proportional to 4,893.72, 7,304.76 and 4,204.80

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Solution

The fourth proportional to 4,893.72, 7,304.76 and 4,204.80 is: 6,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.72 : 7,304.76 = 4,204.80 : x
  2. Step 2: Convert to fraction form
    4,893.72/7,304.76 = 4,204.80/x
  3. Step 3: Cross multiply
    4,893.72x = 7,304.76 × 4,204.80
  4. Step 4: Simplify right side
    4,893.72x = 30,715,054.85
  5. Step 5: Solve for x
    x = 30,715,054.85/4,893.72
  6. Step 6: Final answer
    x = 6,276.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.